I need help with this problem. I am stuck.

[SlaniDrago]

The triangle ABC is given. At the extension of the side AB over the vertex A, the point M is chosen so that | AM | = | AC |. At the extension of the side AB over the vertex B, the point N is chosen so that | BN | = | BC |. Angle CMN = 27 °, and angle CNM = 32 °. What are the interior angles of triangle ABC?​

 

[Deleted member 4993]

The triangle ABC is given. At the extension of the side AB over the vertex A, the point M is chosen so that | AM | = | AC |. At the extension of the side AB over the vertex B, the point N is chosen so that | BN | = | BC |. Angle CMN = 27 °, and angle CNM = 32 °. What are the interior angles of triangle ABC?​

To start to solve the given problem, I would first sketch the triangle ABC. Then I would locate the points M & N on side AB as directed by the problem statement.

Please show us what you have tried and exactly where you are stuck.

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[SlaniDrago]

 

[Dr.Peterson]

I would draw the picture a little more accurately, showing which sides are equal; and then look for isosceles triangles.